38653 has 2 divisors, whose sum is σ = 38654. Its totient is φ = 38652.

The previous prime is 38651. The next prime is 38669. The reversal of 38653 is 35683.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24964 + 13689 = 158^2 + 117^2 .

It is a cyclic number.

It is not a de Polignac number, because 38653 - 2¹ = 38651 is a prime.

Together with 38651, it forms a pair of twin primes.

38653 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19326 + 19327.

It is an arithmetic number, because the mean of its divisors is an integer number (19327).

2³⁸⁶⁵³ is an apocalyptic number.

It is an amenable number.

38653 is a deficient number, since it is larger than the sum of its proper divisors (1).

38653 is an equidigital number, since it uses as much as digits as its factorization.

38653 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2160, while the sum is 25.

The square root of 38653 is about 196.6036622243. The cubic root of 38653 is about 33.8112376998.

The spelling of 38653 in words is "thirty-eight thousand, six hundred fifty-three".